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40726084 = 22717671277
BaseRepresentation
bin1001101101011…
…0111001000100
32211122002200111
42123112321010
540411213314
64012522404
71003110640
oct233267104
984562614
1040726084
1120a97123
1211780404
13858c199
1455a1c20
153896ec4
hex26d6e44

40726084 has 48 divisors (see below), whose sum is σ = 87599232. Its totient is φ = 16169472.

The previous prime is 40726073. The next prime is 40726087. The reversal of 40726084 is 48062704.

40726084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407260842 = 3317227835950112, which contains 22 as substring.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (40726087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31254 + ... + 32530.

It is an arithmetic number, because the mean of its divisors is an integer number (1824984).

Almost surely, 240726084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40726084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43799616).

40726084 is an abundant number, since it is smaller than the sum of its proper divisors (46873148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40726084 is a wasteful number, since it uses less digits than its factorization.

40726084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 40726084 is about 6381.6991467790. The cubic root of 40726084 is about 344.0521036095.

Adding to 40726084 its reverse (48062704), we get a palindrome (88788788).

The spelling of 40726084 in words is "forty million, seven hundred twenty-six thousand, eighty-four".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 938 1139 1277 1876 2278 2554 4556 5108 7973 8939 15946 17878 21709 31892 35756 43418 85559 86836 151963 171118 303926 342236 598913 607852 1197826 1454503 2395652 2909006 5818012 10181521 20363042 40726084